413104772988 has 144 divisors (see below), whose sum is σ = 1144424604960. Its totient is φ = 125062963200.

The previous prime is 413104772957. The next prime is 413104773013. The reversal of 413104772988 is 889277401314.

413104772988 is a `hidden beast` number, since 41 + 31 + 0 + 477 + 29 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38348043 + ... + 38358813.

It is an arithmetic number, because the mean of its divisors is an integer number (7947393090).

Almost surely, 2^413104772988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413104772988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572212302480).

413104772988 is an abundant number, since it is smaller than the sum of its proper divisors (731319831972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413104772988 is a wasteful number, since it uses less digits than its factorization.

413104772988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 413104772988 in words is "four hundred thirteen billion, one hundred four million, seven hundred seventy-two thousand, nine hundred eighty-eight".